Finite Group Databasebeta

← Group #11774557

Character table — Group #11774557

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order1222444433444466666612121212121212122234466666661212121212121212121212121212121222446666121212126666661212121212121212121222444466668888121212121212121224242424242424248824242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-11-1-1-1-1-1-1111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111-1-11-1-1-1-1-1-1111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ71111111111111111111111111111-1-11-1-1-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111111111-1-11-1-1-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1111-1-1-11111ii−i−i11-1-1-1-1-1-1iiii−i−i−i−ii−iii−i−iii−i−ii−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1111-1-1-11111−i−iii11-1-1-1-1-1-1−i−i−i−iiiii−ii−i−iii−i−iii−ii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1ii−i−i-1-1111111iiii−i−i−i−ii−iii−i−i−i−iii−ii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1−i−iii-1-1111111−i−i−i−iiiii−ii−i−iiiii−i−ii−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-111-1-1-1-1ii−i−i11-1-11111iiii−i−i−i−i−ii−i−iiiii−i−i−ii
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-111-1-1-1-1−i−iii11-1-11111−i−i−i−iiiiii−iii−i−i−i−iiii−i
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-11-1-11111ii−i−i-1-111-1-1-1-1iiii−i−i−i−i−ii−i−iii−i−iiii−i
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-11-1-11111−i−iii-1-111-1-1-1-1−i−i−i−iiiiii−iii−i−iii−i−i−ii
χ172222222222-2-2-2-222222222222222002000000222-2-2-2-2-2-200002222-2-222222222222200000000-2-2-2-2000000-2-20000000000-2-2-2-2000000000000000000000000
χ182222222222-2-2-2-222222222222222002000000222-2-2-2-2-2-200002222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-20000002200000000002222000000000000000000000000
χ19222222222-12222222-1-1-122-1-1-1-12222-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-10000-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-12222222-1-1-122-1-1-1-12222-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-21111111122-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2111100001111111100000000000000000000
χ21222222222-12222222-1-1-122-1-1-1-122-2-2-1-2-21111-1-1-122-1-1-1-11111-1-1-1-1222222-1-1-1-1-1-1-1-1-2-21111-2-2-1-1-1-11111-2-222-2-211110000-1-1-1-1111100000000000000000000
χ22222222222-12222222-1-1-122-1-1-1-122-2-2-1-2-21111-1-1-122-1-1-1-11111-1-1-1-122-2-2-2-211111111-2-21111-2-2-1-1-1-1111122-2-222-1-1-1-100001111-1-1-1-100000000000000000000
χ23222222222-1-2-2-2-2222-1-1-122-1-1-1-12200-100−i3−i3i3i3-1-1-1-2-21111−i3−i3i3i3-1-1-1-1-2-22222-1-1-1-1-1-1-1-100−i3−i3i3i3001111−i3−i3i3i300-2-200−i3−i3i3i300001111−i3−i3i3i300000000000000000000
χ24222222222-1-2-2-2-2222-1-1-122-1-1-1-12200-100−i3−i3i3i3-1-1-1-2-21111−i3−i3i3i3-1-1-1-1-2-2-2-2-2-21111111100−i3−i3i3i3001111−i3−i3i3i3002200i3i3−i3−i30000-1-1-1-1i3i3−i3−i300000000000000000000
χ25222222222-1-2-2-2-2222-1-1-122-1-1-1-12200-100i3i3−i3−i3-1-1-1-2-21111i3i3−i3−i3-1-1-1-1-2-22222-1-1-1-1-1-1-1-100i3i3−i3−i3001111i3i3−i3−i300-2-200i3i3−i3−i300001111i3i3−i3−i300000000000000000000
χ26222222222-1-2-2-2-2222-1-1-122-1-1-1-12200-100i3i3−i3−i3-1-1-1-2-21111i3i3−i3−i3-1-1-1-1-2-2-2-2-2-21111111100i3i3−i3−i3001111i3i3−i3−i3002200−i3−i3i3i30000-1-1-1-1−i3−i3i3i300000000000000000000
χ2722222222-122222-1-1-1222-1-12222-1-122-1222222-1-1-1-1-122222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000222200000000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ2822222222-122222-1-1-1222-1-12222-1-122-1222222-1-1-1-1-122222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-20000000011111111-2-21111000000
χ2922222222-122222-1-1-1222-1-12222-1-1-2-2-1-2-2-2-2-2-2-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-100000000000011111111-1-1-1-111110000000000222200000000-1-1-1-1-1-1-1-1-2-21111000000
χ3022222222-122222-1-1-1222-1-12222-1-1-2-2-1-2-2-2-2-2-2-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-100000000000011111111-1-1-1-111110000000000-2-2-2-2000000001111111122-1-1-1-1000000
χ312222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2002000000222-2-2-2-2220000-2-2-2-22222-2-22222-2-2-2-200000000-2-222000000-220000000000-2-222000000000000000000000000
χ322222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2002000000222-2-2-2-2220000-2-2-2-222-2-222-2-2-2-2222200000000-2-2220000002-2000000000022-2-2000000000000000000000000
χ332222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-222-1-2-2-1-1-1-1-1-1-122-1-11111111111-2-222-2-2-1-1-1-1111122-1-1-1-1-2-2-1-1111111222-2-2-2-1-1-1-10000-1-111111100000000000000000000
χ342222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-222-1-2-2-1-1-1-1-1-1-122-1-11111111111-2-2-2-2221111-1-1-1-122-1-1-1-1-2-2-1-1111111-2-2-22221111000011-1-1-1-1-1-100000000000000000000
χ352222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-2-2-1221111-1-1-122-1-111-1-1-1-11111-2-222-2-2-1-1-1-11111-2-2111122-1-111-1-1-1-1-2-22-22211110000-1-111-1-1-1-100000000000000000000
χ362222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-2-2-1221111-1-1-122-1-111-1-1-1-11111-2-2-2-2221111-1-1-1-1-2-2111122-1-111-1-1-1-122-22-2-2-1-1-1-1000011-1-1111100000000000000000000
χ372222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-200-100−i3−i3i3i3-1-1-1-2-211-1-1i3i3−i3−i311112222-2-2-1-1-1-1111100−i3−i3i3i30011-1-1i3i3−i3−i300-2200−i3−i3i3i3000011-1-1i3i3−i3−i300000000000000000000
χ382222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-200-100−i3−i3i3i3-1-1-1-2-211-1-1i3i3−i3−i3111122-2-2221111-1-1-1-100−i3−i3i3i30011-1-1i3i3−i3−i3002-200i3i3−i3−i30000-1-111−i3−i3i3i300000000000000000000
χ392222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-200-100i3i3−i3−i3-1-1-1-2-211-1-1−i3−i3i3i311112222-2-2-1-1-1-1111100i3i3−i3−i30011-1-1−i3−i3i3i300-2200i3i3−i3−i3000011-1-1−i3−i3i3i300000000000000000000
χ402222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-200-100i3i3−i3−i3-1-1-1-2-211-1-1−i3−i3i3i3111122-2-2221111-1-1-1-100i3i3−i3−i30011-1-1−i3−i3i3i3002-200−i3−i3i3i30000-1-111i3i3−i3−i300000000000000000000
χ412222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-21122-1-2-22222-1-1-1-1-122-2-2-2-2-2-2111111000000000000-1-1-1-1-1-111-1-111111100000000002i2i−2i−2i00000000−i−i−i−iiiii2i−2i−i−iii000000
χ422222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-21122-1-2-22222-1-1-1-1-122-2-2-2-2-2-2111111000000000000-1-1-1-1-1-111-1-11111110000000000−2i−2i2i2i00000000iiii−i−i−i−i−2i2iii−i−i000000
χ432222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-2-2-122-2-2-2-2-1-1-1-1-122-2-22222111111000000000000111111-1-1-1-111-1-1-1-100000000002i2i−2i−2i00000000−i−i−i−iiiii−2i2iii−i−i000000
χ442222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-2-2-122-2-2-2-2-1-1-1-1-122-2-22222111111000000000000111111-1-1-1-111-1-1-1-10000000000−2i−2i2i2i00000000iiii−i−i−i−i2i−2i−i−iii000000
χ4522-2-22i−2i2i−2i222-22i−2i2-2-22-2-22i−2i2i2i−2i−2i2i−2i0020000002-2-22-22-22i−2i00002i2i−2i−2i2i−2i000000000000000000002-22i−2i00002-2002i−2i2-22-2000000002i−2i2i−2i00000000000000000000
χ4622-2-22i−2i2i−2i222-22i−2i2-2-22-2-22i−2i2i2i−2i−2i2i−2i0020000002-2-22-22-22i−2i00002i2i−2i−2i2i−2i000000000000000000002-22i−2i0000-2200−2i2i-22-2200000000−2i2i−2i2i00000000000000000000
χ4722-2-22i−2i2i−2i22-22−2i2i2-2-22-2-22i−2i2i2i−2i−2i2i−2i2-222i−2i2-22-22-2-2-22-22−2i2i2i−2i2i−2i2i2i−2i−2i−2i2i0000000000002-22-22-22i−2i-22−2i2i2i−2i2i−2i000000000000000000000000000000000000000000
χ4822-2-22i−2i2i−2i22-22−2i2i2-2-22-2-22i−2i2i2i−2i−2i2i−2i-222−2i2i-22-222-2-2-22-22−2i2i−2i2i−2i2i2i2i−2i−2i−2i2i000000000000-22-22-22−2i2i-22−2i2i−2i2i−2i2i000000000000000000000000000000000000000000
χ4922-2-22i−2i2i−2i2-12-22i−2i2-2-2-1112i−2i−i−iii2i−2i00-100−i3i3i3−i3-1112-2-11−ii3−3−33−i−iii2i−2i0000−i3−i3i3i333−3−300−i3i3i3−i300-11−ii3−3−332-2002i−2i-11-110000−i3i33−3−ii−ii00000000000000000000
χ5022-2-22i−2i2i−2i2-12-22i−2i2-2-2-1112i−2i−i−iii2i−2i00-100−i3i3i3−i3-1112-2-11−ii3−3−33−i−iii2i−2i0000i3i3−i3−i3−3−33300−i3i3i3−i300-11−ii3−3−33-2200−2i2i1-11-10000i3−i3−33i−ii−i00000000000000000000
χ5122-2-22i−2i2i−2i2-12-22i−2i2-2-2-1112i−2i−i−iii2i−2i00-100i3−i3−i3i3-1112-2-11−ii−333−3−i−iii2i−2i0000−i3−i3i3i333−3−300i3−i3−i3i300-11−ii−333−3-2200−2i2i1-11-10000−i3i33−3i−ii−i00000000000000000000
χ5222-2-22i−2i2i−2i2-12-22i−2i2-2-2-1112i−2i−i−iii2i−2i00-100i3−i3−i3i3-1112-2-11−ii−333−3−i−iii2i−2i0000i3i3−i3−i3−3−33300i3−i3−i3i300-11−ii−333−32-2002i−2i-11-110000i3−i3−33−ii−ii00000000000000000000
χ5322-2-22i−2i2i−2i2-1-22−2i2i2-2-2-1112i−2i−i−iii2i−2i2-2-12i−2i-11-11-111-221-1i−i−ii−ii−i−iii−2i2i0000−i3−i3i3i333−3−32-2-11-112i−2i1-1i−i−ii−ii000000−i3i3i3−i30000i3−i3−333−3−3300000000000000000000
χ5422-2-22i−2i2i−2i2-1-22−2i2i2-2-2-1112i−2i−i−iii2i−2i2-2-12i−2i-11-11-111-221-1i−i−ii−ii−i−iii−2i2i0000i3i3−i3−i3−3−3332-2-11-112i−2i1-1i−i−ii−ii000000i3−i3−i3i30000−i3i33−3−333−300000000000000000000
χ5522-2-22i−2i2i−2i2-1-22−2i2i2-2-2-1112i−2i−i−iii2i−2i-22-1−2i2i1-11-1-111-221-1i−ii−ii−i−i−iii−2i2i0000−i3−i3i3i333−3−3-221-11-1−2i2i1-1i−ii−ii−i000000i3−i3−i3i30000i3−i3−33−333−300000000000000000000
χ5622-2-22i−2i2i−2i2-1-22−2i2i2-2-2-1112i−2i−i−iii2i−2i-22-1−2i2i1-11-1-111-221-1i−ii−ii−i−i−iii−2i2i0000i3i3−i3−i3−3−333-221-11-1−2i2i1-1i−ii−ii−i000000−i3i3i3−i30000−i3i33−33−3−3300000000000000000000
χ5722-2-22i−2i2i−2i-12-22−2i2i-1112-2-2−ii2i2i−2i−2i−ii2-2-12i−2i2-22-2-1111-1-22−2i2i2i−2i2i−2i−i−iiii−i000000000000-11-11-11−ii1-1i−i−ii−ii0000000000000000000000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
χ5822-2-22i−2i2i−2i-12-22−2i2i-1112-2-2−ii2i2i−2i−2i−ii2-2-12i−2i2-22-2-1111-1-22−2i2i2i−2i2i−2i−i−iiii−i000000000000-11-11-11−ii1-1i−i−ii−ii0000000000000000000000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ5922-2-22i−2i2i−2i-12-22−2i2i-1112-2-2−ii2i2i−2i−2i−ii-22-1−2i2i-22-22-1111-1-22−2i2i−2i2i−2i2i−i−iiii−i0000000000001-11-11-1i−i1-1i−ii−ii−i0000000000000000000000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.